Backward estimates for nonnegative solutions to a class of singular parabolic equations

DOI10.1016/j.na.2016.06.013zbMath1346.35118OpenAlexW2506329902MaRDI QIDQ739444

Vincenzo Vespri, Marco Vinicio Calahorrano Recalde

Publication date: 18 August 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2016.06.013

zbMATH Keywords

nonnegative solutionsHarnack estimatessingular parabolic equationsbackward pointwise estimates

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Singular parabolic equations (35K67) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (3)

The Cauchy problem for the fast \(p\)-Laplacian evolution equation. Characterization of the global Harnack principle and fine asymptotic behaviour ⋮ Fine properties of solutions to the Cauchy problem for a fast diffusion equation with Caffarelli-Kohn-Nirenberg weights ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(1\)-dimensional Harnack estimates
• Pointwise estimates for the fundamental solutions of a class of singular parabolic problems
• Moser-Nash kernel estimates for degenerate parabolic equations
• Degenerate parabolic equations
• Global positivity estimates and Harnack inequalities for the fast diffusion equation
• Interior Harnack estimates: the state-of-the-art for quasilinear singular parabolic equations
• Fundamental solutions and asymptotic behaviour for the p-Laplacian equations
• Subpotential lower bounds for nonnegative solutions to certain quasi-linear degenerate parabolic equations
• On the parabolic kernel of the Schrödinger operator
• A new proof of Moser's parabolic Harnack inequality using the old ideas of Nash
• Gaussian lower bounds for random walks from elliptic regularity
• Harnack inequalities and sub-Gaussian estimates for random walks
• Harnack estimates at large: sharp pointwise estimates for nonnegative solutions to a class of singular parabolic equations
• Quantitative local and global a priori estimates for fractional nonlinear diffusion equations
• Harnack's Inequality for Degenerate and Singular Parabolic Equations
• Asymptotic L^1-decay of solutions of the porous medium equation to self-similarity
• Forward, backward and elliptic Harnack inequalities for non-negative solutions to certain singular parabolic partial differential equations
• A harnack inequality for parabolic differential equations

This page was built for publication: Backward estimates for nonnegative solutions to a class of singular parabolic equations